$5$ mangoes and $4$ oranges cost as much as $3$ mangoes and $7$ oranges. What is the ratio of the cost of one mango to that of one orange?

4 : 7

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7 : 4

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3 : 2

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2 : 3

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Solution

The correct option is B $3 : 2$
Let the cost of one mango be $x$ paise and that of one orange be $y$ paise.
Then, $5 x + 4 y = 3 x + 7 y$
$\Rightarrow 2 x = 3 y \Rightarrow \frac{x}{y} = \frac{3}{2}$
$\Rightarrow x : y = 3 : 2$ .

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5 mangoes and 4 oranges cost as much as 3 mangoes and 7 oranges. What is the ratio of the cost of one mango to that of one orange?

The correct option is B 3:2Let the cost of one mango be x paise and that of one orange be y paise.Then, 5x+4y=3x+7y⇒2x=3y⇒xy=32⇒x:y=3:2.

$5$ mangoes and $4$ oranges cost as much as $3$ mangoes and $7$ oranges. What is the ratio of the cost of one mango to that of one orange?

The correct option is B $3 : 2$
Let the cost of one mango be $x$ paise and that of one orange be $y$ paise.
Then, $5 x + 4 y = 3 x + 7 y$
$\Rightarrow 2 x = 3 y \Rightarrow \frac{x}{y} = \frac{3}{2}$
$\Rightarrow x : y = 3 : 2$ .